I'm nearing the end of community college, 2 more semesters to go to finish up math and physics major classes. I took differential equations and physics 1 (mechanics) this semester - found ODE easy and intro mechanics challenging; I tend to do well in math classes, but am not the most talented...
Yeah, even when I use the variation of parameters method with f = e^2t, I get -1/5 e^2t as the particular solution, which works with the substitution... part of the process with Cauchy Euler is to first solve the homogeneous equation and then divide through to put in standard form for parameter...
I'm fine with this up to a certain point, but I'm not certain if I'm using the substitution correctly. After finding the homogeneous solution do I plug in x= e^t in the original equation and then divide by e^2t to put it in standard form before applying variation of parameters so f=1, or do I...
Hiya. I'm an undergrad taking my first major's physics course in mechanics (calc based, but not much calc involved thus far), and I am fairly lost. Straight A's in calc 1-3, currently in differential equations math wise and doing well, but having problems with the physics course because it is...